Representations of Deligne-Mostow lattices into
نویسندگان
چکیده
We classify representations of a class Deligne-Mostow lattices into PGL(3,C). In particular, we show local rigidity for the (of with three-fold symmetry and type one) where generators chose are same as lattices. also without constraints on six them existence deformations number in three them. use formal computations SAGE Maple to obtain results. The code files available GitHub ([7]).
منابع مشابه
Forgetful Maps between Deligne-mostow Ball Quotients
We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livné fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimension...
متن کاملDeligne-mostow Lattices with Three Fold Symmetry and Cone Metrics on the Sphere
Deligne and Mostow constructed a class of lattices in PU(2, 1) using monodromy of hypergeometric functions. Thurston reinterpreted them in terms of cone metrics on the sphere. In this spirit we construct a fundamental domain for the lattices with three fold symmetry in the list of Deligne and Mostow. This is a generalisation of the works of Boadi and Parker and gives a different interpretation ...
متن کاملDirichlet Domains for the Mostow Lattices
We describe an experimental method for studying the combinatorics of Dirichlet domains in the complex hyperbolic plane, based on numerical and graphical techniques. We apply our techniques to the complex reflection groups that appear in Mostow’s seminal paper on the subject, and list a number of corrections to the combinatorics of the Dirichlet domains.
متن کاملOn the Ε-factors of Weil-deligne Representations
An explicit expression for the ε-factor εK((V,N),ψ,dμ) of a representation (V,N) of the Weil-Deligne group WDK of a local field K is given in terms of the nonabelian local class field theory of K.
متن کاملSpin Representations and Lattices
We give a construction of the spin representations of orthogonal groups over Z that are compact over R. Such an orthogonal group is associated to a positive definite, integral lattice L with good reduction at all primes. A representation of the group scheme Spin(L) is an even, unimodular lattice M of rank 2k, where k = n−1 if rank(L) = 2n is even and k = n if rank(L) = 2n + 1 is odd. To constru...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Experimental Mathematics
سال: 2022
ISSN: ['1944-950X', '1058-6458']
DOI: https://doi.org/10.1080/10586458.2022.2093802